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Home » You Won’t Believe How Wattů Transformed Household Energy Usage Overnight! - 500apps

You Won’t Believe How Wattů Transformed Household Energy Usage Overnight! - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Thus, the average power output is $\boxed{4x + 4}$.

📌 Question: A chemistry lab technician in Maryland needs to prepare a solution by mixing three different reagents. The volumes of the reagents are $ \frac{3}{4} $ liters, $ \frac{5}{8} $ liters, and $ \frac{7}{16} $ liters. What is the total volume of the mixture in liters?

📌 Solution: To find the total volume, we add the three fractions. First, find a common denominator. The least common denominator of 4, 8, and 16 is 16:

📌 \frac{3}{4} = \frac{12}{16}, \quad \frac{5}{8} = \frac{10}{16}, \quad \frac{7}{16} = \frac{7}{16}

📌 Now add the fractions:

📌 \frac{12}{16} + \frac{10}{16} + \frac{7}{16} = \frac{29}{16}

📌 Convert to a mixed number:

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$ (r, b, g) = (1, 1, 3) $
$ (r, b, g) = (1, 2, 2) $
$ (r, b, g) = (1, 3, 1) $
$ (r, b, g) = (2, 1, 2) $
$ (r, b, g) = (2, 2, 1) $
$ (r, b, g) = (3, 1, 1) $
Now compute the number of ways for each case using combinations:
$ \binom{8}{1} \binom{6}{1} \binom{4}{3} = 8 \cdot 6 \cdot 4 = 192 $
$ \binom{8}{1} \binom{6}{2} \binom{4}{2} = 8 \cdot 15 \cdot 6 = 720 $
$ \binom{8}{1} \binom{6}{3} \binom{4}{1} = 8 \cdot 20 \cdot 4 = 640 $

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